Office:
Email:
Gyrhofstr. 8b
cjenning@math.unikoeln.de
DO NOT EMAIL jennichr@math.oregonstate.edu or jennichr@oregonstate.edu
THOSE ACCOUNTS ARE DEACTIVATED
Mailing Address:
Mathematical Institute
University of Cologne
Gyrhofstr. 8b
50931 Cologne
Germany
Research
My research interests are centered around integer partitions by
qseries, modular forms,
harmonic Maass forms, special functions, and combinatorics.
In particular I am interested in
congruences for partition functions that are not modular
forms, introducing new cranks for
partition functions, and studying rank functions
via harmonic Maass forms. Additionally I enjoy
all partition functions and qseries identities
coming from Bailey pairs and Bailey's Lemma.
I am a strong advocate for explicit computations for conjectures and verifications of theorems.
Primarily my computations are done in Maple.
The current version of my CV in pdf format can be found
here.
The majority of my articles can be found on
arXiv.
Preprints and Submitted Work

Proofs and Reductions of Kanade and Russell’s Partition Identities
(with K. Bringmann and K. Mahlburg)
submitted
ArXiv

Peak Positions of Strongly Unimodal Sequences
(with K. Bringmann, K. Mahlburg, and R. Rhoades)
submitted
ArXiv

A Note on Andrews' Partitions with Parts Separated by Parity
(with K. Bringmann)
submitted
ArXiv

Asymptotic Formulas Related to the $M_2$rank of Partitions without Repeated Odd Parts
(with D. Reihill)
submitted
ArXiv
Publications:

The Generating Function of the M2rank of Partitions without Repeated Odd Parts as a Mock Modular Form
Transactions of the American Mathematical Society,
Vol. 371 Number 1, pages 249277 (2019)
ArXiv
Maple File

When Fourth Moments are Enough
(with D. Skinner and E. Waymire),
Rocky Mountain J. Math., Vol. 48 Number 6, pages 19171924 (2018)
ArXiv

Mock modularity of the Mdrank of overpartitions
(with H. Swisher)
Journal of Mathematical Analysis and Applications, Vol. 466 Issue 2, pages 11441189 (2018)
ArXiv

On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramamunjan's ω(q)
(with K. Bringmann and K. Mahlburg)
Advances in Mathematics, Vol. 325, pages 505532 (2018)
ArXiv

Some Smallest Parts Functions from Variations of Bailey's Lemma
in Frontiers in Orthogonal Polynomials and qSeries, Chapter 18, pages 343372 (2018)
ArXiv

Ranks For Two Partition Quadruple Functions
Journal de Theorie de Nombres de Bordeaux, Vol. 29 number 2, pages 425443 (2017)
ArXiv

Two Partition Functions with Congruences modulo 3, 5, 7, and 13
Annals of Combinatorics, Vol. 21 number 3, (2017), pages 397443
ArXiv

Exotic BaileySlater SPTFunctions I: Group A
Advances in Mathematics, Vol. 305, (2017), pages 479514
ArXiv

Higher Order Smallest Parts Functions and RankCrank Moment Inequalities from Bailey Pairs
(with C. Babecki and G. Sangston)
Research in Number Theory, Vol. 2(1), (2016), pages 135
ArXiv

Exotic BaileySlater SPTFunctions II: HeckeRogersType Double Sums and
Bailey Pairs From Groups A, C, E
(with F. Garvan)
Advances in Mathematics, Vol. 299, (2016), pages 605639
ArXiv

Exotic BaileySlater SPTFunctions III: Bailey Pairs from Groups B, F, G, and J
Acta Arithmetica, Vol. 173 Number 4, (2016), pages 317364,
ArXiv

Overpartition Rank Differences Modulo 7 by Maass Forms
Journal of Number Theory, Vol. 163, (2016), pages 331358,
ArXiv

Congruences for Partition Pairs with Conditions
(formerly titled "Congruences for a Certain Partition Pair by a Crank"),
Quarterly Journal of Mathematics, Vol. 66, No. 3 (2015), pages 837860
ArXiv

Rank and Crank Moments for Partitions without Repeated Odd Parts,
Int. J. Number Theory, Vol. 11, No. 03 (2015), pages 683703.
Arxiv

Higher Order SPT functions for overpartitions, overpartitions with smallest part even,
and partitions without repeated odd parts
Journal of Number Theory, Vol. 149, (2015), pages 285312.
ArXiv

Another SPT crank for the number of smallest parts in overpartitions with even smallest part
(formerly titled "Another proof of two modulo 3 congruences and another SPT crank for the number of
smallest parts in overpartitions with even smallest part"),
Journal of Number Theory, Vol. 148, (2015), pages 196203.
ArXiv

The sptcrank for overpartitions
(with F. Garvan),
Acta Arithmetica, Vol. 166, No. 02 (2014), pages 141188.
ArXiv

Hecketype congruences for Andrews' sptfunction modulo 16 and 32
(with F. Garvan),
Int. J. Number Theory, Vol. 10, No. 02 (2014), pages 375390.
ArXiv

A note on the transcendence of zeros of a certain family of weakly holomorphic modular forms
(with H. Swisher),
Int. J. Number Theory, Vol. 10, No. 02 (2014), pages 309317.